Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Public-key cryptosystem based on invariants of diagonalizable groups

Public-key cryptosystem based on invariants of diagonalizable groups AbstractWe develop a public-key cryptosystem based on invariants of diagonalizable groups and investigate properties of such a cryptosystem first over finite fields, then over number fields and finally over finite rings.We consider the security of these cryptosystem and show that it is necessary to restrict the set of parameters of the system to prevent various attacks (including linear algebra attacks and attacks based on the Euclidean algorithm). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups Complexity Cryptology de Gruyter

Public-key cryptosystem based on invariants of diagonalizable groups

Loading next page...
 
/lp/de-gruyter/public-key-cryptosystem-based-on-invariants-of-diagonalizable-groups-vUMfyN0wps
Publisher
de Gruyter
Copyright
© 2017 by De Gruyter
ISSN
1869-6104
eISSN
1869-6104
DOI
10.1515/gcc-2017-0003
Publisher site
See Article on Publisher Site

Abstract

AbstractWe develop a public-key cryptosystem based on invariants of diagonalizable groups and investigate properties of such a cryptosystem first over finite fields, then over number fields and finally over finite rings.We consider the security of these cryptosystem and show that it is necessary to restrict the set of parameters of the system to prevent various attacks (including linear algebra attacks and attacks based on the Euclidean algorithm).

Journal

Groups Complexity Cryptologyde Gruyter

Published: May 1, 2017

References